6i JMifcellanea Curio [a. 



lei, cannot meet : but in this cafe the Problem 

 is indeterminate and capable of infinite Solu- 

 tions. For as before upon CG defcribe a Seg- 

 ment of a circle capable of the obferved Lyz * r 

 and upon C defcribe a Segment capable of 

 the obferved yctt; then through c, draw a 

 line any way cutting the circles in ^, thefe 

 points will anfwer the queftion. 



The third Problem. 



Four points B, C,D,F, (Tig. 8.) or the 4 fides 

 of a quadrilateral, with the angles compre- 

 hended are given ^ alfo there are two ftati- 

 ons ^andi: fuch, that at ^, only B c E are 

 vifible, and at E only A D F, that is, the 

 angles £ a c, B a e, a e D, D e F are given : 

 to find the places of the two points AE, and 

 confequently, the lengths of the lines AB 7 ac^ 

 aE, ED, E F, 



Confiru&ton. 

 Upon B C (by 33.3. End.) defcribe a feg- 

 ment of a circle, that may contain an angle 

 equal to the obferved angle BAC, then from 

 C draw the Chord C M y or a line cutting the 

 circle in M\ fo that the Angle BCM may 

 be equal to the fupplement of the obferved 

 angle BAE, i. e. its refidue to 180 degrees. 

 In like manner on D F defcribe a fegment of 

 a circle, capable of an angle equal to the ob- 

 ferv'd DeF, and from D draw the Chord DN, 

 fo that the angle F D N may be equal to the 

 fupplement of the obferv'd angle a E F y join 

 M N y cutting the two circles in A, E : I fay 

 £, are the two points requir'd. 



Demon' 



